find the angle through which a cyclist leans when he rides through a curved path of radius 50 m at a speed 10m per second
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Let us suppose, he is leaned with an angle theta with vertical.
So the forces perpendicular to its cycle must balance.
Component of gravity: mg sin∅
Component of centripetal force: mv²/R cos∅
mgsin∅ = mv²/R cos∅
→ tan∅ = 19.6 × 19.6 / 39.2 × 9.8 = 1
→ ∅ = tan^-1(1)
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